Encryption Schemes with Addressable Elements

2. The system of claim 1, wherein the public key comprises instructions sufficient to identify a first location in the array and a sequence of additional physical unclonable functions defined with respect to the first location.

3. The system of claim 1, wherein the array of physically unclonable functions include at least one of static random access memory, dynamic random access memory, resistive random access memory, electrically erasable programmable read-only memory, one-time programmable memory, an array of ring oscillators, gate delays oscillators, optical physically unclonable functions, and microelectromechanical system physically unclonable functions.

4. The system of claim 1, wherein the user device includes at least one of a smart card, a secure microcontroller, a communications base station, a vehicle, and a satellite.

5. The system of claim 2, wherein the sequence of additional physically unclonable functions defined with respect to the first location are arranged along an angle in the array, wherein a first physically unclonable function in the sequence of physically unclonable functions is at the first location.

6. The system of claim 5, wherein the public key includes instructions sufficient to identify the angle.

7. The system of claim 1, wherein the data stream includes ternary data and the transmission encodes locations of values in the data stream having a third state in a set of ternary states.

8. The system of claim 7, wherein the first processor is configured to encode into the transmission a hash of the locations of values in the data stream having the third state in the set of ternary states.

9. The system of claim 1, wherein the second processor is further configured to generate the public key and transmit it to the user device.

10. The system of claim 9, wherein second processor is configured to use the generated public key to identify the addresses of the array of physically unclonable functions measured by the user device, and to retrieve previously stored responses from the lookup table corresponding to those identified addresses.

12. The device of claim 11, wherein the array of physically unclonable functions include at least one of static random access memory, dynamic random access memory, resistive random access memory, electrically erasable programmable read-only memory, one-time programmable memory, an array of ring oscillators, gate delays oscillators, optical physically unclonable functions, and microelectromechanical system physically unclonable functions.

13. The device of claim 11, wherein the device includes at least one of a smart card, a secure microcontroller, a communications base station, a vehicle, and a satellite.

14. The device of claim 11, wherein the data stream includes ternary data and the processor is configured to transmit an identification of locations of values in the data stream having a third state in a set of ternary states to the remote computer system.

15. The device of claim 14, wherein the processor is configured to transmit a hash of the locations of values in the data stream having the third state in the set of ternary states to the remote computer system.